Linear Algebra- Vector Spaces

1. The problem statement, all variables and given/known data
Let V = {(a1,a2,...an): ai [tex]\in[/tex] C for i = 1,2,...n}; Is V a vector space over the field of real numbers with the operations of coordinatewise addition and multiplication?

2. Relevant equations
I know that V is a vector space over C.

3. The attempt at a solution
I actually don't really understand the problem, especially what it means by vector space over the field of real numbers. Any suggestions would be great. Thanks.